Question

The ratio of an exterior angle to the interior angle of a regular polygon is 2:7. The number of sides of this poygon ​

Answer 1

Answer: 9

Step-by-step explanation:Since, the ratio of its internal to external angle is 7:2, you can say that

its internal angle = 7x and exterior angle = 2x.

Therefore,

7x + 2x = 180

=> x = 20

Exterior angle = 40 degrees

now (exterior angle) = 360/(no. of sides)

solving, you will get no. of sides = 9.